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arXiv · 1305.3000

Michael-Simon inequalities for $k$-th mean curvatures

Yi Wang
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Abstract

This paper continues the study of Alexandrov-Fenchel inequalities for quermassintegrals for $k$-convex domains. It focuses on the application to the Michael-Simon type inequalities for $k$-curvature operators. The proof uses optimal transport maps as a tool to relate curvature quantities defined on the boundary of a domain.

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Yi Wang. 2013-05-14. Michael-Simon inequalities for $k$-th mean curvatures. https://arxiv.org/abs/1305.3000

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